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Finding the Third Proportional to 4,113,826,304 and 6,266,989,324

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Solution

The third proportional to 4,113,826,304 and 6,266,989,324 is: 9,547,110,715.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,113,826,304 : 6,266,989,324 = 6,266,989,324 : x
  2. Step 2: Convert to fraction form
    4,113,826,304/6,266,989,324 = 6,266,989,324/x
  3. Step 3: Cross multiply
    4,113,826,304x = 6,266,989,324 × 6,266,989,324
  4. Step 4: Simplify right side
    4,113,826,304x = 39,275,155,187,129,974,784
  5. Step 5: Solve for x
    x = 39,275,155,187,129,974,784/4,113,826,304
  6. Step 6: Final answer
    x = 9,547,110,715.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.